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Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
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Course of Mathematical Logic - Volume 2 Model Theory (Hardcover, 1974 ed.)
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Course of Mathematical Logic - Volume 2 Model Theory (Hardcover, 1974 ed.)
Series: Synthese Library, 69
Expected to ship within 10 - 15 working days
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This book is addressed primarily to researchers specializing in
mathemat ical logic. It may also be of interest to students
completing a Masters Degree in mathematics and desiring to embark
on research in logic, as well as to teachers at universities and
high schools, mathematicians in general, or philosophers wishing to
gain a more rigorous conception of deductive reasoning. The
material stems from lectures read from 1962 to 1968 at the Faculte
des Sciences de Paris and since 1969 at the Universities of
Provence and Paris-VI. The only prerequisites demanded of the
reader are elementary combinatorial theory and set theory. We lay
emphasis on the semantic aspect of logic rather than on syntax; in
other words, we are concerned with the connection between formulas
and the multirelations, or models, which satisfy them. In this
context considerable importance attaches to the theory of
relations, which yields a novel approach and algebraization of many
concepts of logic. The present two-volume edition considerably
widens the scope of the original French] one-volume edition (1967:
Relation, Formule logique, Compacite, Completude). The new Volume 1
(1971: Relation et Formule logique) reproduces the old Chapters 1,
2, 3, 4, 5 and 8, redivided as follows: Word, formula (Chapter 1),
Connection (Chapter 2), Relation, operator (Chapter 3), Free
formula (Chapter 4), Logicalformula, denumer able-model theorem
(L6wenheim-Skolem) (Chapter 5), Completeness theorem
(G6del-Herbrand) and Interpolation theorem (Craig-Lyndon) (Chapter
6), Interpretability of relations (Chapter 7)."
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